838100213 has 2 divisors, whose sum is σ = 838100214. Its totient is φ = 838100212.

The previous prime is 838100191. The next prime is 838100227. The reversal of 838100213 is 312001838.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 533702404 + 304397809 = 23102^2 + 17447^2 .

It is a cyclic number.

It is not a de Polignac number, because 838100213 - 2⁸ = 838099957 is a prime.

It is equal to p_43002908 and since 838100213 and 43002908 have the same sum of digits, it is a Honaker prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (838100413) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 419050106 + 419050107.

It is an arithmetic number, because the mean of its divisors is an integer number (419050107).

Almost surely, 2^838100213 is an apocalyptic number.

It is an amenable number.

838100213 is a deficient number, since it is larger than the sum of its proper divisors (1).

838100213 is an equidigital number, since it uses as much as digits as its factorization.

838100213 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1152, while the sum is 26.

The square root of 838100213 is about 28949.9605008366. The cubic root of 838100213 is about 942.8269405899.

The spelling of 838100213 in words is "eight hundred thirty-eight million, one hundred thousand, two hundred thirteen".